IIT JEE Practice Question and Answer

Q: In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends? 1083 0

  • 1
    240
    Correct
    Wrong
  • 2
    72
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 3. "48"
Explanation :

Answer: C) 48 Explanation: DESIGN = 6 letters   No consonants appear at either of the two ends.  = 2 x 4P4 =  2 x 4 x 3 x 2 x 1=  48

Q: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1081 0

  • 1
    1:9
    Correct
    Wrong
  • 2
    9:1
    Correct
    Wrong
  • 3
    3:7
    Correct
    Wrong
  • 4
    7:3
    Correct
    Wrong
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Answer : 4. "7:3"
Explanation :

Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1   Ratio of Milk and water in a vessel B is 3 : 2   Ratio of only milk in vessel A = 4 : 5   Ratio of only milk in vessel B = 3 : 5   Let 'x' be the quantity of milk in vessel C   Now as equal quantities are taken out from both vessels A & B   => 4/5     :     3/5               x   3/5-x          x - 4/5   => 35-xx-45 = 11 (equal quantities)   => x = 7/10   Therefore, quantity of milk in vessel C  = 7   => Water quantity = 10 - 7 = 3   Hence the ratio of milk & water in vessel 3 is 7 : 3

Q: What comes first latitude or longitude? 1080 0

  • 1
    Latitude
    Correct
    Wrong
  • 2
    Longitude
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "Latitude"
Explanation :

Answer: A) Latitude Explanation: Latitude comes first among latitude or longitude.  Latitude is written before longitude. The first number is always the latitude and the second is the longitude. Latitude is written with a number, followed by either “north” or “south” depending on whether it is located north or south of the equator. Longitude is written with a number, followed by either “east” or “west” depending on whether it is located east or west of the Prime Meridian.

Q: 3/4 divided by 2 is 1080 0

  • 1
    3/2
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    8/3
    Correct
    Wrong
  • 4
    3/8
    Correct
    Wrong
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Answer : 4. "3/8"
Explanation :

Answer: D) 3/8 Explanation: 3/4 divided by 2 = 3/4/2 = 3/4x2 = 3/8.   Hence, 3/4 divided by 2 is equal to 3/8.

Q: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1080 0

  • 1
    32.5 hrs
    Correct
    Wrong
  • 2
    29.25 hrs
    Correct
    Wrong
  • 3
    30.30 hrs
    Correct
    Wrong
  • 4
    31 hrs
    Correct
    Wrong
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Answer : 2. "29.25 hrs"
Explanation :

Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs  Then, 1/9 - 1/x = 1/13 x = 29.25 hrs

Q: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ? 1080 0

  • 1
    844
    Correct
    Wrong
  • 2
    814
    Correct
    Wrong
  • 3
    840
    Correct
    Wrong
  • 4
    820
    Correct
    Wrong
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Answer : 2. "814"
Explanation :

Answer: B) 814 Explanation: Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.Area of each tile = (41 x 41) sq.cm Required number of tiles =1517 x 902/(41 x 41) = 814.

Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 1080 0

  • 1
    60 mts
    Correct
    Wrong
  • 2
    120 mts
    Correct
    Wrong
  • 3
    240 mts
    Correct
    Wrong
  • 4
    360 mts
    Correct
    Wrong
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Answer : 4. "360 mts"
Explanation :

Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.

Q: What is something you will never see again? 1080 0

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Answer :
Explanation :

Yesterday, is what we will never see again as the time we come across will never be back.

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